Classification of Refinable Splines

@inproceedings{Dai2004ClassificationOR,
  title={Classification of Refinable Splines},
  author={Xin-Rong Dai and De-Jun Feng and Yang Wang},
  year={2004}
}
A refinable spline is a compactly supported refinable function that is piecewise polynomial. Refinable splines, such as the well known B-splines, play a key role in computer aided geometric designs. So far all studies on refinable splines have focused on positive integer dilations and integer translations, and under this setting a rather complete classification was obtained in [12]. However, refinable splines do not have to have integer dilations and integer translations. The classification of… CONTINUE READING
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